We're dividing 791301 by 838 
Our goal is to divide 791301 by 838.

Going ahead to step 1:
838 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (9) from the dividend to 7 and continue with: 79 / 838

Moving on to step 2:
838 can be fit into 79 0 times, resulting in a remainder of 79.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 79 leaves us with 79.
Take the next digit (1) from the dividend and append it to 79, then repeat: 791 / 838

On to step 3:
838 can be fit into 791 0 times, resulting in a remainder of 791.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 791, we get 791.
Append the next digit (3) from the dividend to 791 and continue with: 7913 / 838

Step 4:
If we divide 7913 by 838, we get 9 and a remainder of 371.
The next digit of our result is 9. 
Result so far: 9.0
If we take 7542 away from 7913, we end up with 371.
Grab the next digit (0) from the dividend, add it to 371, then carry on: 3710 / 838

Advancing to step 5:
The number 838 fits into 3710 4 times, leaving a remainder of 358.
Record the quotient 4 as the next digit in the result. 
Result so far: 94.0
Subtract 3352 from 3710 to get 358.
Append the next digit (1) from the dividend to 358 and continue with: 3581 / 838

Step 6:
When dividing 3581 by 838, we get 4 with a remainder of 229.
The next digit of our result is 4. 
Result so far: 944.0
The remainder is 229 after subtracting 3352 from 3581.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2290, and continue the process.

Step 7:
The number 838 fits into 2290 2 times, leaving a remainder of 614.
Use 2 as the next digit of our solution. 
Result so far: 944.2
Subtract 1676 from 2290 to get 614.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6140, and continue the process.

Step 8:
838 can be fit into 6140 7 times, resulting in a remainder of 274.
Use 7 as the next digit of our solution. 
Result so far: 944.27
The remainder is 274 after subtracting 5866 from 6140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

Moving on to step 9:
When dividing 2740 by 838, we get 3 with a remainder of 226.
The number 3 becomes the next digit in our result. 
Result so far: 944.273
Deduct 2514 from 2740 and we're left with 226.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2260, and continue the process.

Let's proceed to step 10:
The number 838 fits into 2260 2 times, leaving a remainder of 584.
Write down 2 as next digit of the result. 
Result so far: 944.2732
The remainder is 584 after subtracting 1676 from 2260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5840, and continue the process.

Advancing to step 11:
5840 divided by 838 is 6 with a remainder of 812.
Record the quotient 6 as the next digit in the result. 
Result so far: 944.27326
Subtract 5028 from 5840 to get 812.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8120, and continue the process.

Moving on to step 12:
When dividing 8120 by 838, we get 9 with a remainder of 578.
Record the quotient 9 as the next digit in the result. 
Result so far: 944.273269
Subtract 7542 from 8120 to get 578.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5780, and continue the process.

Moving on to step 13:
5780 divided by 838 is 6 with a remainder of 752.
Put 6 as the next digit of the answer. 
Result so far: 944.2732696
If we subtract 5028 from 5780, we get 752.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7520, and continue the process.

Let's proceed to step 14:
If we divide 7520 by 838, we get 8 and a remainder of 816.
Record the quotient 8 as the next digit in the result. 
Result so far: 944.27326968
If we take 6704 away from 7520, we end up with 816.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8160, and continue the process.

Our division results in 944.27326968 with a remaining 8.16e-07.